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Finding the Fourth Proportional to 4,199.63, 6,300.36 and 1,277.86

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Solution

The fourth proportional to 4,199.63, 6,300.36 and 1,277.86 is: 1,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.63 : 6,300.36 = 1,277.86 : x
  2. Step 2: Convert to fraction form
    4,199.63/6,300.36 = 1,277.86/x
  3. Step 3: Cross multiply
    4,199.63x = 6,300.36 × 1,277.86
  4. Step 4: Simplify right side
    4,199.63x = 8,050,970.50
  5. Step 5: Solve for x
    x = 8,050,970.50/4,199.63
  6. Step 6: Final answer
    x = 1,917.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.